Answer : The area of sector is, [tex]272.57mm^2[/tex]
Step-by-step explanation :
Formula used to calculate the area of sector in degree is:
Area of sector = [tex]\frac{\theta}{360}\pi r^2[/tex]
where,
[tex]\theta[/tex] = angle = [tex]50^o[/tex]
r = radius = 25 mm
Now put all the given values in the above formula, we get:
Area of sector = [tex]\frac{\theta}{360}\pi r^2[/tex]
Area of sector = [tex]\frac{50}{360}\times 3.14\times (25)^2[/tex]
Area of sector = [tex]272.57mm^2[/tex]
Therefore, the area of sector is, [tex]272.57mm^2[/tex]